LCM of 192, 686, 934, 627, 380
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 192, 686, 934, 627, 380 with the LCM of Two or More Numbers Calculator. Here we are teaching you two different methods through which you can calculate the LCM of 192, 686, 934, 627, 380. So, keep reading to learn more.
Given numbers are 192,686,934,627,380
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 192,686,934,627,380 is 32138715840.
Find LCM of 192,686,934,627,380 with Prime Factorization
| 2 | 192, 686, 934, 627, 380 |
| 2 | 96, 343, 467, 627, 190 |
| 3 | 48, 343, 467, 627, 95 |
| 19 | 16, 343, 467, 209, 95 |
| 16, 343, 467, 11, 5 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 19 x 16 x 343 x 467 x 11 x 5 = 32138715840
Therefore, the lowest common multiple of 192,686,934,627,380 is 32138715840.
LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}
Firstly, we have to find the product of all the numbers.
192 x 686 x 934 x 627 x 380 = 29310508846080
Then, let us find the GCF of these five numbers. To do so, we have to list down the factors for each number and choose the highest factor that is in all of the lists.
192 : 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 192
686 : 1, 2, 7, 14, 49, 98, 343, 686
934 : 1, 2, 467, 934
627 : 1, 3, 11, 19, 33, 57, 209, 627
380 : 1, 2, 4, 5, 10, 19, 20, 38, 76, 95, 190, 380
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 192,686,934,627,380, is 1.
Now, the common factors can be found like this.
192:2x 2x 2x 2x 2x 2x 3
686:2x 7x 7x 7
934:2x 467
627:3x 11x 19
380:2x 2x 5x 19
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 2x 2x 2x 3x 19 = 912
Therefore, the value for common factors is 912.
Now that we have all the elements of the formula, we can plug them in to calculate the LCM.
LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}
LCM = 29310508846080/(1x912)
LCM = 29310508846080/912
LCM = 32138715840
Thus, we can understand that the LCM of 192,686,934,627,380 is 32138715840.
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FAQs on LCM of 192, 686, 934, 627, 380
1. What is the LCM of 192, 686, 934, 627, 380?
Answer: LCM of 192, 686, 934, 627, 380 is 32138715840.
2. How to calculate the LCM of 192, 686, 934, 627, 380?
The LCM can be found using two methods. You can either use the LCM formula or the prime factorization method to calculate the LCM of 192, 686, 934, 627, 380.
3. What is the LCM formula?
The LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}.